Question

The smallest number by which 1280 should be divided so that it becomes a perfect cube is-​

Answer 1

Answer:

Only 2 is left from becoming a perfect square cube.

Therefore, the smallest number by which 128 must be divided to obtain a perfect cube is 2.

Answer 2

Answer:

The number that should be divided to 1280 to make it a perfect cube is 20.

Step-by-step explanation:

Perfect cube:

• Numbers that are the triple product of the same number are known as perfect cubes. In other words, the value produced by multiplying a whole number by three times itself is a perfect cube.
• A number that may be expressed as three times the product of another integer is referred to as a perfect cube.

The given number is 1280.

we need to find the least number by which 1280 is divided to get a perfect cube.

 By Prime factorization we can write

      1280 = 2×2×2×2×2×2×2×2×5

    When we divide 1280 with 20 then we get 64

      64 is a perfect cube of 4.

    So, the number that should be divided to 1280 to get a perfect cube  is 20.

Know more about Division:

https://brainly.in/question/13368512?referrer=searchResults

Know more about Perfect square:

https://brainly.in/question/43418979?referrer=searchResults